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Finding the Fourth Proportional to 1,358.04, 2,035.98 and 588.12

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Solution

The fourth proportional to 1,358.04, 2,035.98 and 588.12 is: 881.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.04 : 2,035.98 = 588.12 : x
  2. Step 2: Convert to fraction form
    1,358.04/2,035.98 = 588.12/x
  3. Step 3: Cross multiply
    1,358.04x = 2,035.98 × 588.12
  4. Step 4: Simplify right side
    1,358.04x = 1,197,400.56
  5. Step 5: Solve for x
    x = 1,197,400.56/1,358.04
  6. Step 6: Final answer
    x = 881.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.